Question

The number of robocalls received by a given household in twelve randomly selected weeks results in the following data set: {9, 7, 2, 9, 4, 8, 4, 10, 15, 10, 20, 8}. Use this to find the 90% confidence interval estimate of the mean number of calls received per week. Use a T-interval.

Answer 1

Since we know that

Where n is the number of data points

Now

and n = 12

This implies that

Confidence interval(in %) = 90

Since we know that

Required confidence interval

Required confidence interval = (8.8333-2.5382, 8.8333+2.5382)

Required confidence interval = (6.2951, 11.3715)

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